Cannister filters generally have a larger media volume than HOB or internal filters (although they can be bought in many sizes.) A larger media volume allows the fishkeeper to go a longer time between filter cleanings as long as something unusual doesn't happen to clog the filter and slow the flow rate.
Cannisters are generally more flexible about taking different kinds of media, allowing you to choose your own as you gain experience or want to experiment. Some HOB filters are really just as flexible though, I believe AquaClear being a type that is. One subtle a cannister can have over a HOB is quietness - the HOB will generally have to make water noises as water falls back into the tank, whereas the spray bar output of a cannister can be adjusted for both surface agitation and quietness. Another positive feature of cannisters frequently are that each media type is often in a little basket, sometimes even with its own handle, which makes it easy to lift over and swish through a bucket of tank water for cleaning.
One of the main advantages of cannisters is simply that by being external, they are less messy to carry to the tub. Modern ones have shut-off valves that keep the siphon water in the hoses and detach those from right at the cannister. You then simply lift the media box/cylinder and carry it to the cleaning sink/tub and lift out the baskets for the tank water rinse. If you refill the box with tank water, often no priming of the siphon will be necessary when you start it back up.
For beginners (like us I would say!) a common favorite would be to start with a coarse sponge right after water input, followed by biomedia like ceramic rings/noodles. The idea of these is that they are hard and force the water in random directions so that tunneling will not occur. Tunneling is when the water finds a path of least resistance and so less filtration occurs. The rough, pitted ceramic of the rings is also a great bacteria home. Next might come ceramic or sintered glass pebbles because they have even higher surface area to harbor more bacteria. Fine sponge can also play this role. Finally, a fine sponge often finishes off the media stack so that any debris that got past the other media might be caught before going back out into the aquarium.
Often the filter maker will sell ideal sponges that fit the filter - these are best to start with to get a feel for how the filter is meant to work. Later you may find you can make changes and still get about the same flow rate as that first baseline you have familiarized yourself with.
Special media variations include polyfloss (great for sparkling up before picture taking, but tends to clog quickly.. well depends on the particular filter!) and carbon of course which I'm sure you've seen covered elsewhere, for med cleanup or tannins or smell - only good for a few days.
OK, hope that helps generate some questions
~~waterdrop~~